Question

 Triangle PQR has two known interior angles of 24°, and 100°.

Answer 1

Answer:

D. The triangles are similar.

Step-by-step explanation:

Two triangles are similar if all 3 angles of one triangle are congruent to all 3 angles of the other triangle.

In triangle PQR, the two known angles are 24° and 100°.  Since the sum of the measures of the angles of a triangle is always 180°, this makes the missing angle

180-(24+100) = 180-124 = 56°

In triangle RST, the two known angles are 24° and 56°.  This makes the missing angle

180-(24+56) = 180-80 = 100°

This means all 3 angles in PQR are congruent to all 3 angles in RST; this means the triangles are similar.

Answer 2

180-24=5
180-56=34
Both are equal
D